预应力混凝土斜拉桥自适应施工控制分析

232Vol.23No.220062Feb.2006ENGINEERINGMECHANICS782004-01-192004-06-26(50448016)*(1979)(E-mail:[e-mail])(1950).1000-4750(2006)02-0078-06*(100084)TU311ASELF-ADAPTIVECONSTRUCTIONCONTROLANALYSISOFPRE-STRESSEDCONCRETECABLE-STAYEDBRIDGES*ZHAOWen-wu,XINKe-gui(DepartmentofCivilEngineering,TsinghuaUniversity,KeyLaboratoryofStructuralEngineeringandVibrationofEducationMinisty,Beijing100084,China)Abstract:Thecontrolofgirdergeometryandinternalforcesisveryimportantintheconstructionofpre-stressedconcretecable-stayedbridges.Aself-adaptiveconstructioncontrolanalysismethodisproposed.Theamelioratedcontinuousrigid-supportbeammethodisproposedtoanalyzerationalcompletedstate.Theforward-iterationmethodisutilizedtoanalyzetherationalconstructionstate.Theparametercheck-identificationmethodbasedontheleastsquaresmethodisproposedforparameteridentification.Thegreyforecastmodelwitherrorcorrectionisusedtoforecastparameters.Theanalysisresultofasymmetriccable-stayedbridgeshowsthattheself-adaptiveconstructioncontrolanalysismethodisfeasibleandreasonable.Keywords:pre-stressedconcretecable-stayedbridge;constructioncontrol;leastsquaresmethod;amelioratedcontinuousrigid-supportbeammethod;parametercheck-identificationmethod;greyforecastmodel(P.C.)P-K(300m)17cmBrotone(320m)[1]1986(190m+70m)[1]79P.C.1P.C.P.C.[2]()1P.C.1P.C.Fig.1Flowchartoftheself-adaptiveconstructioncontrolsystemforP.C.cable-stayedbridges22.1[3](0)[4][5]}{0CP1}{×nTnmS×][ijSjimn1110}{}{}{}{××××+=mdnnmmCPTSCP(1)1}{×mdCP11}{×nT1}{×mCP1101}{}{}{∆×××−=mmmCPCPCP(2)1}{×nx11}{∆}{][×××=mnnmCPxS(3)mn(3)1}{×nxmin][∆}{∆}]{[)(1212=−=−=∑∑==minjjijixSCPCPxSxQ(4)),,1(0)(][∆2)(11nkSxSCPxxQikminjjijikL==−−=∂∂∑∑==(5)),,1(∆])[(111nkCPSxSSnjmiiikmijijikL==∑∑∑===(6)(6)}{∆][}]{[][CPSxSSTT=(7)[S](7)80mm×][ρ(3)11}{∆][][][][×××××=mmmnnmmmCPxSρρ(8)(7)}{∆][][]][[][][22CPSxSSTTρρ=(9)(9){x}}{}{}{111xTTnini+=××+(10)11}{×+niT211max,εε∑=jjnjjjTxnTx(11)21,εε1ε=0.005~0.02,2ε=0.01~0.05()0[6][7]2.2P.C.[8]JkP11}{∆1)1(}{∆Jkkp−()JwV}{∆11}{∆JwvJkP11}{∆1)1(}{∆Jkkp−kwVPA×][][ρ⎭⎬⎫⎩⎨⎧⎥⎦⎤⎢⎣⎡=⎭⎬⎫⎩⎨⎧⎥⎦⎤⎢⎣⎡⎥⎦⎤⎢⎣⎡vVpPAAAAvVvPvPVPVPvV∆∆00∆∆001111ρρρρ(12)0}{∆=pJwV}{∆1JkP11}{∆}{∆]][[}]{∆[][][1211121VAPAAVVPVPVTVPρρ=(13)JkP11}{∆1)1(}{∆Jkkp−})]{∆[}({∆][][}]{∆[][][1122PAvAPAAvPvTvPvPvTvP−=ρρ(14)1)1(}{∆Jkkp−JkP11}{∆})]{∆[}({∆][][}]{∆[][][21112pAVAPAAvPVTVPVPVTVP−=ρρ(15)(14)(15)(12)JkP11}{∆1)1(}{∆Jkkp−1)1(}{∆Jkkp−[9]2.3GM(1,1)[10]N4)4(≥NNNT)0()0()0()0()](,),2(),1([}{NPPPPL=(16)1~N(16)TNPPPP)](,),2(),1([}{)1()1()1()1(L=(17))1()()1(),1()1()0()1()1()0()1(++=+=kPkPkPPP1,,2,1−=NkL81}{)1(PbPatPd=+}{d}{)1()1((18)Tbaa],[}ˆ{=}{][])[]([}ˆ{1NTTYBBBa−=(19)TNNPPPYNPNPPPPPB)](,),3(),2([}{1)]()1([5.01)]3()2([5.01)]2()1([5.0][)0()0()0()1()1()1()1()1()1(LLL=⎥⎥⎥⎥⎦⎤⎢⎢⎢⎢⎣⎡+−×−+×−+×−=(18)ababPkPak+−=+−e])1([)1(ˆ)0()1((20)Nk≥)1(ˆ)1(+kPGM(1,1)}ˆ{)1(P)}(,),2(),1({}{)0()0()0()0(NεεεεL=(21))1(ˆ)1()1(,0)1()1()1()0()0(+−+=+=kPkPkεε1,,2,1−=NkL}{)1(ε}{)1(εGM(1,1)εεεεεεεababkka+⎟⎟⎠⎞⎜⎜⎝⎛−=+−e)1()1()0()1()1(ˆ)1(+kεk)1(ˆ)0(+kεNkabakNkkkka⎟⎟⎠⎞⎜⎜⎝⎛−−=+≤≤=−,e)1()1(ˆ1,)()(ˆ)0()0()0()0(εεεεεεεε(22))1(ˆ)1(+kε)1(ˆ)1(+kPNkabaababPkPkaak≥⎥⎥⎦⎤⎢⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛−−++−=+−−,e)1(e])1([)1(ˆ)0()0()1(εεεεε(23)}ˆ{)1(P}ˆ{)0(PNkkPkPkP≥−+=+),(ˆ)1(ˆ)1(ˆ)1()1()0((24)4NNkNiPkPNi=∑=,/])([)(ˆ1)0()0((25)[9]()()321L1,L2,ML1,MR1,R1,R2L3~7,ML2~7,MR2~7,R3~7L1,R124.5kN/m3000kN1Table1Geometryparameters,materialparametersanddeadloads/m2/m4/kPa/(kN/m)0.31961.13072.10E787.5000.20250.21062.10E7——0.26940.43162.10E7——0.04200.00001.95E83.2270.01600.00001.95E81.2413()4()822(/m)Fig.2Analysismodelofasymmetriccable-stayedbridge(Unit/m)3Fig.3Comparisonofcableforcesunderdeadloadsinthecompletedstate4Fig.4Comparisonofgirdermomentsunderdeadloadsinthecompletedstate101~78910(5)GM(1,1)22Table2Resultsofparameteridentificationandparameterforecastoftheweightdensityofthegirder12345678910(1)0.10490.10530.10470.10220.10340.10280.10380.10330.10330.1033(2)0.10490.10530.10470.10290.10380.10320.10350.10350.10350.1035(3)0.10490.10530.10470.10350.10420.10390.10390.10390.10390.1039(4)0.10490.10530.10440.10480.10460.10460.10460.10460.10460.1046(5)0.10490.10530.10470.10500.10500.10500.10500.10500.10500.1050(6)0.10490.10520.10510.10510.10510.10510.10510.10510.10510.1051(7)0.10560.10480.10520.10520.10520.10520.10520.10520.10520.1052(8)0.10560.10450.10330.10390.10390.10390.10390.10390.10390.1039(9)0.10560.10470.10410.10260.10330.10340.10340.10340.10340.1034(10)0.10560.10470.10420.10340.10290.10310.10320.10320.10320.1032(11)0.10560.10470.10420.10280.10320.10250.10290.10290.10290.1029(12)0.10560.10470.10420.10250.10270.10390.10230.10310.10310.1031(13)0.10560.10470.10420.10230.10250.10310.10360.10210.10290.1029(14)0.10560.10470.10420.10210.10220.10300.10270.10370.10370.10374(1)/m/kN·m83(2)(3)GM(1,1)GM(1,1)[1].[M].:,2001.XiangZhongfu.BridgeConstructionControlTechnology[M].Beijing:People’sCommunicationPress,2001.(inChinese)[2].[M].:,1990.LiQingquan.Theory,DesignandApplicationoftheSelf-AdaptiveControlSystem[M].Beijing:SciencePress,1990.(inChinese)[3].()[M].:,1993.FanLichu.BridgeEngineering(PartTwo)[M].Beijing:PeopleCommunicationPress,1